2(2k+1)=2(k-3)

Solution for 2(2k+1)=2(k-3) equation:

Simplifying
2(2k + 1) = 2(k + -3)

Reorder the terms:
2(1 + 2k) = 2(k + -3)
(1 * 2 + 2k * 2) = 2(k + -3)
(2 + 4k) = 2(k + -3)

Reorder the terms:
2 + 4k = 2(-3 + k)
2 + 4k = (-3 * 2 + k * 2)
2 + 4k = (-6 + 2k)

Solving
2 + 4k = -6 + 2k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-2k' to each side of the equation.
2 + 4k + -2k = -6 + 2k + -2k

Combine like terms: 4k + -2k = 2k
2 + 2k = -6 + 2k + -2k

Combine like terms: 2k + -2k = 0
2 + 2k = -6 + 0
2 + 2k = -6

Add '-2' to each side of the equation.
2 + -2 + 2k = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 2k = -6 + -2
2k = -6 + -2

Combine like terms: -6 + -2 = -8
2k = -8

Divide each side by '2'.
k = -4

Simplifying
k = -4